SOA Exam P Question 116 | Conditional Variance
An actuary determines that the annual number of tornadoes in counties P and Q are
jointly distributed as follows:
Annual number of
tornadoes in county Q
0 1 2 3
Annual number 0 0.12 0.06 0.05 0.02
of tornadoes 1 0.13 0.15 0.12 0.03
in county P 2 0.05 0.15 0.10 0.02
Calculate the conditional variance of the annual number of tornadoes in county Q, given
that there are no tornadoes in county P.
(A) 0.51
(B) 0.84
(C) 0.88
(D) 0.99
(E) 1.76
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